A modified characteristics projection finite element method for unsteady incompressible Magnetohydrodynamics equations

This paper provides a modified characteristics projection finite element method for the unsteady incompressible magnetohydrodynamics(MHD) equations. In this method, modified characteristics finite element method and the projection method will be combined for solving the unsteady incompressible MHD e...

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Main Authors:	Shujie Jing, Jixiang Guan, Zhiyong Si
Format:	Article
Language:	English
Published:	AIMS Press 2020-05-01
Series:	AIMS Mathematics
Subjects:	unsteady incompressible mhd equations finite element method projection method error estimates modified characteristics projection method
Online Access:	https://www.aimspress.com/article/10.3934/math.2020254/fulltext.html

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spelling	doaj-a77701a59f6e4be1a6c9ca45f312743b2020-11-25T02:11:12ZengAIMS PressAIMS Mathematics2473-69882020-05-01543922395110.3934/math.2020254A modified characteristics projection finite element method for unsteady incompressible Magnetohydrodynamics equationsShujie Jing0Jixiang Guan1 Zhiyong Si2School of Mathematics and Information Science, Henan Polytechnic University, 454003, Jiaozuo, P. R. ChinaSchool of Mathematics and Information Science, Henan Polytechnic University, 454003, Jiaozuo, P. R. ChinaSchool of Mathematics and Information Science, Henan Polytechnic University, 454003, Jiaozuo, P. R. ChinaThis paper provides a modified characteristics projection finite element method for the unsteady incompressible magnetohydrodynamics(MHD) equations. In this method, modified characteristics finite element method and the projection method will be combined for solving the unsteady incompressible MHD equations. Both the stability and the optimal error estimates both in <em>L</em><sup>2</sup> and <em>H</em><sup>1</sup> norms for the modified characteristics projection finite element method will be shown. In order to demonstrate the effectiveness of our method, we will present some numerical results at the end.https://www.aimspress.com/article/10.3934/math.2020254/fulltext.htmlunsteady incompressible mhd equationsfinite element methodprojection methoderror estimatesmodified characteristics projection method
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Shujie Jing Jixiang Guan Zhiyong Si
spellingShingle	Shujie Jing Jixiang Guan Zhiyong Si A modified characteristics projection finite element method for unsteady incompressible Magnetohydrodynamics equations AIMS Mathematics unsteady incompressible mhd equations finite element method projection method error estimates modified characteristics projection method
author_facet	Shujie Jing Jixiang Guan Zhiyong Si
author_sort	Shujie Jing
title	A modified characteristics projection finite element method for unsteady incompressible Magnetohydrodynamics equations
title_short	A modified characteristics projection finite element method for unsteady incompressible Magnetohydrodynamics equations
title_full	A modified characteristics projection finite element method for unsteady incompressible Magnetohydrodynamics equations
title_fullStr	A modified characteristics projection finite element method for unsteady incompressible Magnetohydrodynamics equations
title_full_unstemmed	A modified characteristics projection finite element method for unsteady incompressible Magnetohydrodynamics equations
title_sort	modified characteristics projection finite element method for unsteady incompressible magnetohydrodynamics equations
publisher	AIMS Press
series	AIMS Mathematics
issn	2473-6988
publishDate	2020-05-01
description	This paper provides a modified characteristics projection finite element method for the unsteady incompressible magnetohydrodynamics(MHD) equations. In this method, modified characteristics finite element method and the projection method will be combined for solving the unsteady incompressible MHD equations. Both the stability and the optimal error estimates both in <em>L</em><sup>2</sup> and <em>H</em><sup>1</sup> norms for the modified characteristics projection finite element method will be shown. In order to demonstrate the effectiveness of our method, we will present some numerical results at the end.
topic	unsteady incompressible mhd equations finite element method projection method error estimates modified characteristics projection method
url	https://www.aimspress.com/article/10.3934/math.2020254/fulltext.html
work_keys_str_mv	AT shujiejing amodifiedcharacteristicsprojectionfiniteelementmethodforunsteadyincompressiblemagnetohydrodynamicsequations AT jixiangguan amodifiedcharacteristicsprojectionfiniteelementmethodforunsteadyincompressiblemagnetohydrodynamicsequations AT zhiyongsi amodifiedcharacteristicsprojectionfiniteelementmethodforunsteadyincompressiblemagnetohydrodynamicsequations AT shujiejing modifiedcharacteristicsprojectionfiniteelementmethodforunsteadyincompressiblemagnetohydrodynamicsequations AT jixiangguan modifiedcharacteristicsprojectionfiniteelementmethodforunsteadyincompressiblemagnetohydrodynamicsequations AT zhiyongsi modifiedcharacteristicsprojectionfiniteelementmethodforunsteadyincompressiblemagnetohydrodynamicsequations
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A modified characteristics projection finite element method for unsteady incompressible Magnetohydrodynamics equations

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